Abstract

In this paper we find various new backgrounds in Type IIB, IIA and M-theory with an $AdS_3$-factor. The solutions are smooth and preserve small amounts of SUSY. These new backgrounds are found by application of non-Abelian T-duality (sometimes combined with T-duality) on the supergravity solution dual to the Klebanov-Witten CFT compactified to two dimensions. The field theory aspects encoded by these backgrounds are studied. We give a detailed account of conserved charges, central charges, entanglement entropy and Wilson loops. Further, we present a possible field theory interpretation for our backgrounds.

Highlights

  • Introduction and general ideaWhile perturbation theory is a central tool for any physicist, there are no general equivalent methods to study quantum field theories (QFTs) at large coupling

  • The solutions are smooth and preserve small amounts of SUSY. These new backgrounds are found by application of non-Abelian T-duality on the supergravity solution dual to the Klebanov-Witten CFT compactified to two dimensions

  • This constitutes another original contribution of this paper, presenting new and smooth backgrounds of M-theory that describe the strong dynamics of a SUSY 2d CFT

Read more

Summary

Introduction and general idea

While perturbation theory is a central tool for any physicist, there are no general equivalent methods to study quantum field theories (QFTs) at large coupling. Our study begins with Type IIB backgrounds dual to a compactification of the Klebanov-Witten CFT [30] to a 2-d CFT We will present these backgrounds for different compactifications and perform a NATD transformation on them, generating new smooth and SUSY solutions with AdS3-factors in Type IIA and M-theory. We will present the calculation of different observables of the associated QFTs that support the proposal made above These calculations are performed in smooth supergravity solutions, they are trustable and capture the strong dynamics of the associated 2d CFTs. The logic of this paper is a continuation of that in the previous works of SfetsosThompson [10] and Itsios-Nunez-Sfetsos-Thompson (INST) [16, 17]. It superposes with the material in our section 3.2

Part I
The non-Abelian T-dual of the twisted solutions
The non-Abelian T-dual of the Donos-Gauntlett solution
T-dualizing back from Type IIA to IIB
Lift to M-theory
Uplift of the NATD of the twisted solutions
Uplift of the NATD of the Donos-Gauntlett solution
General comments on the Quantum Field Theory
Quantized charges
Page charges for the twisted solutions
Page charges for the Donos-Gauntlett solution
Central charges and c-theorem
Central charge at conformal points
Central charge for flows across dimensions
Entanglement entropy and Wilson loops
Entanglement entropy
Wilson loop
10 Conclusions and future directions
A SUSY analysis
B Details on the Donos-Gauntlett solution
C Expressions after NATD in other coordinates
D Central charges in other interesting geometries
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call